Below a number of tools are downloadable to analyse prototype mixing flows. Matlab is needed to run these examples, where in some cases precomputed mapping matrices are provided, while in other cases, like the time-periodic sine flow, also the option is made for the user to build matrices.

Lid driven cavity

The lid-driven cavity flow is one of the classical examples that may lead to chaotic advection. This relatively simple script makes it possbile to move top and bottom walls. 

P.G.M. Kruijt et al.  Analyzing mixing in periodic flows by distribution matrices: Mapping method, AIChE Journal, 47(5), 1005-1015, (2001)

Journal bearing

This example gives the user almost complete freedom to create an initial input for the concentration distribution.

O.S. Galaktionov et al. Structure development during chaotic mixing in the journal bearing flow, Phys. Fluids, 14(9), 3009-3017, (2002)

Kenics static mixer

O.S. Galaktionov et al.  Analysis and optimization of Kenics mixers, International Polymer Processing, XVIII(2), 138-150, (2003)

Time-periodic sine flow

This example provides all scripts to create the matrices, but also to study the effect of T on mixing.

M.K. Singh et al. Eigenmode analysis of scalar transport in distributive mixing, Phys. Fluids, 21, 093601, (2009)